Solving Special Systems: Word Problems for Grade 6

A farmer has chickens and cows. If the total number of animals is 30 and there are 10 more chickens than cows, how many of each animal does the farmer have?

• 20 cows and 10 chickens

• 15 cows and 15 chickens

• 10 cows and 20 chickens

• 5 cows and 25 chickens

A school is planning a field trip. If each bus can hold 15 students and they have 3 buses, how many students can go on the trip? If they have 45 students, how many more buses do they need?

• 2

• 0

• 3

• 1

Maria and John are saving money for a video game. Maria saves $5 each week, while John saves $3 each week. If they want to save a total of $50, how many weeks will it take for both of them to reach their goal?

• 10 weeks

• 8 weeks

• 5 weeks

• 7 weeks

A store sells pencils for $0.50 each and erasers for $0.75 each. If a student buys a total of 20 items and spends $12.50, how many pencils and erasers did the student buy?

• 5 pencils and 15 erasers

• 15 pencils and 5 erasers

• 12 pencils and 8 erasers

• 10 pencils and 10 erasers

In a class, the ratio of boys to girls is 3:4. If there are 28 students in total, how many boys and girls are in the class?

• 12 boys and 16 girls

• 8 boys and 20 girls

• 14 boys and 14 girls

• 10 boys and 18 girls

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer pays $50, how many miles did they drive?

• 150 miles

• 100 miles

• 200 miles

• 250 miles

A gardener is planting flowers in two types of beds. If the first bed can hold 12 flowers and the second bed can hold 18 flowers, how many flowers can be planted in total if they have 60 flowers?

• 54

• 48

• 42

• 30

A bookstore sells novels for $10 each and magazines for $5 each. If a customer buys a total of 8 items and spends $55, how many novels and magazines did they buy?

• 4 novels and 4 magazines

• 2 novels and 6 magazines

• 5 novels and 3 magazines

• 3 novels and 5 magazines

A pizza shop sells small pizzas for $8 and large pizzas for $12. If a customer orders a total of 5 pizzas and spends $52, how many small and large pizzas did they order?

• 2 small pizzas and 3 large pizzas

• 1 small pizza and 4 large pizzas

• 3 small pizzas and 2 large pizzas

• 5 small pizzas and 0 large pizzas

A local gym has a membership fee of $30 and charges $5 per class. If a member pays $70, how many classes did they attend?

• 12

• 8

• 10

• 5